What is the Greatest Common Factor of 30625 and 30637?

Greatest common factor (GCF) of 30625 and 30637 is 1.

GCF(30625,30637) = 1

We will now calculate the prime factors of 30625 and 30637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30625 and 30637.

How to find the GCF of 30625 and 30637?

We will first find the prime factorization of 30625 and 30637. After we will calculate the factors of 30625 and 30637 and find the biggest common factor number .

Step-1: Prime Factorization of 30625

Prime factors of 30625 are 5, 7. Prime factorization of 30625 in exponential form is:

30625 = 5⁴ × 7²

Step-2: Prime Factorization of 30637

Prime factors of 30637 are 30637. Prime factorization of 30637 in exponential form is:

30637 = 30637¹

Step-3: Factors of 30625

List of positive integer factors of 30625 that divides 30625 without a remainder.

1, 5, 7, 25, 35, 49, 125, 175, 245, 625, 875, 1225, 4375, 6125

Step-4: Factors of 30637

List of positive integer factors of 30637 that divides 30625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30625 and 30637. The biggest common factor number is the GCF number.
So the greatest common factor 30625 and 30637 is 1.

Also check out the Least Common Multiple of 30625 and 30637